On the existence of solutions to boundary value problems for interval-valued differential equations under gH-differentiability

Hongzhou Wang; Rosana Rodríguez-López

doi:10.1016/j.ins.2020.10.052

On the existence of solutions to boundary value problems for interval-valued differential equations under gH-differentiability

Hongzhou Wang, Rosana Rodríguez-López^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Santiago de Compostela

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, we study first order interval-valued differential equations with the boundary value condition x(0)=αx(T). By constructing proper operators, some sufficient conditions for the existence of solutions are provided for α∈R⧹{0,1}, corresponding to non-periodic boundary value problems. At the end of this paper, some examples are shown to illustrate the theorems proved.

Original language	English
Pages (from-to)	225-246
Number of pages	22
Journal	Information Sciences
Volume	553
DOIs	https://doi.org/10.1016/j.ins.2020.10.052
Publication status	Published - Apr 2021

Keywords

Boundary value problems
Interval-valued differential equations
Switching points
gH-differentiability

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10.1016/j.ins.2020.10.052

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Wang, H., & Rodríguez-López, R. (2021). On the existence of solutions to boundary value problems for interval-valued differential equations under gH-differentiability. Information Sciences, 553, 225-246. https://doi.org/10.1016/j.ins.2020.10.052

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abstract = "In this paper, we study first order interval-valued differential equations with the boundary value condition x(0)=αx(T). By constructing proper operators, some sufficient conditions for the existence of solutions are provided for α∈R⧹{0,1}, corresponding to non-periodic boundary value problems. At the end of this paper, some examples are shown to illustrate the theorems proved.",

keywords = "Boundary value problems, Interval-valued differential equations, Switching points, gH-differentiability",

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N2 - In this paper, we study first order interval-valued differential equations with the boundary value condition x(0)=αx(T). By constructing proper operators, some sufficient conditions for the existence of solutions are provided for α∈R⧹{0,1}, corresponding to non-periodic boundary value problems. At the end of this paper, some examples are shown to illustrate the theorems proved.

AB - In this paper, we study first order interval-valued differential equations with the boundary value condition x(0)=αx(T). By constructing proper operators, some sufficient conditions for the existence of solutions are provided for α∈R⧹{0,1}, corresponding to non-periodic boundary value problems. At the end of this paper, some examples are shown to illustrate the theorems proved.

KW - Boundary value problems

KW - Interval-valued differential equations

KW - Switching points

KW - gH-differentiability

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On the existence of solutions to boundary value problems for interval-valued differential equations under gH-differentiability

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Keywords

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